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Question
The value of `2 sin^2 π/6 + "cosec"^2 (7π)/6 cos^2 π/3` is ______.
Options
`3/2`
`4/3`
`1/4`
`1/5`
MCQ
Fill in the Blanks
Solution
The value of `2 sin^2 π/6 + "cosec"^2 (7π)/6 cos^2 π/3` is `underlinebb(3/2)`.
Explanation:
`2 sin^2 π/6 + "cosec"^2 (7π)/6 cos^2 π/3`
= `2(1/2)^2 + "cosec"^2(π + π/6)(1/2)^2`
= `1/2 + (- "cosec"^2 π/6)^2 (1/2)^2`
= `1/2 + (2)^2(1/2)^2`
= `1/2 + 1`
= `3/2`
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Trigonometric Functions of Allied Angels
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